$\omega$-TOPOLOGY AND $\alpha$-TOPOLOGY

V. Ananthi; K. Bhuvaneswari

V. Ananthi Department of Mathematics, Mother Teresa Womens University, Kodaikanal - 624101, Tamil Nadu, INDIA

K. Bhuvaneswari Department of Mathematics, Mother Teresa Womens University, Kodaikanal - 624101, Tamil Nadu, INDIA

Volume 16, Issue 1A Pages 163-174 May 1, 2020 267 downloads

Article overview

Abstract

The aim of this paper is to introduce and investigate the new notions called b-$\omega_\alpha$-open sets, $\alpha$-$\omega_\alpha$-open sets and pre-$\omega_\alpha$-open sets which are weaker than $\omega$-open sets. Moreover decompositions of continuity are obtained by using these new notions.

Keywords and Phrases

$\alpha$-$\omega_\alpha$-open set$\omega$-closed setsemi-open set$\omega$-open set.

AMS Subject Classification

26D05, 26D07.

Reference information

How to Cite

V. Ananthi, K. Bhuvaneswari (2020). $\omega$-TOPOLOGY AND $\alpha$-TOPOLOGY. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1A), 163-174.

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